Submission

Revision submitted

 

  1. Fast numerical algorithm for the reaction-diffusion equations using an interpolating method (20230628, cfdkim) Sungha Yoon, Chaeyoung Lee, Soobin Kwak, Seungyoon Kang, Junseok Kim, submitted, Computational and Applied Mathematics, 2024.
  2. A Fast and Accurate 3D Lung Tumor Segmentation Algorithm (20240215 !!) Jian Wang, Ziwei Han, Junseok Kim, submitted, Pattern Analysis and Applications, 2024. 
  3. Stability analysis for maximum principle preserving explicit isotropic schemes of the Allen-Cahn equation (20240531) Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Journal of Computational Mathematics, 2024.
  4. A convergent fourth-order finite difference scheme for the Black-Scholes equation (20230905) Seungyoon Kang, Soobin Kwak, Gyeonggyu Lee, Yougjin Hwang, Seokjun Ham, Junseok Kim, submitted, Computational Economics, 2024.
  5. An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface (20241008) Youngjin Hwang, Jyoti, Soobin Kwak, Hyundong Kim, Junseok Kim, submitted, AIMS Mathematics, 2024.

 

In revision

 

  1. On a two-phase incompressible diffuse interface fluid model with curvature-dependent mobility (20240805)  Junxiang Yang, Junseok Kim, submitted, Journal of Computational Physics, 2024.
  2. A novel binary and ternary data classification system based on the modified Gray-Scott model (20240610) Jian Wang, Shanshan Ge, Heming Xu, Wenjing Jiang, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2024.

 

Submitted

  1. An efficient multi-scale modeling of the filament-based material extrusion in a 3D printing process (20220923) Qing Xia, Gangming Sun, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  2. Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing … Sijing Lai, Qing Xia, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  3. Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge (20240309) Hyundong Kim, Juho Ma, Sanghyun Lee,  Junseok Kim, submitted, Computational Economics, 2024.
  4. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20240322) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Pattern Recognition Letters, 2024.
  5. On the phase-field algorithm for distinguishing connected regions in digital model (20240619) Sijing Lai, Bing Jiang, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Engineering Analysis with Boundary Elements, 2024.
  6. Numerical investigation of reverse equity-linked securities (20240711) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, International Journal of Computer Mathematics, 2024.
  7. Decoupled, efficient and structure-preserving numerical scheme for a non-isothermal phase field sintering model (20240409) Jingjie Cheng, Qing Xia, Binhu Xia, Junseok Kim, Yibao Li, submitted, Computers and Mathematics with Applications, 2024.
  8. Fully explicit numerical method for the incompressible Navier-Stokes equation (20240806) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, Computers and Mathematics with Applications, 2024.
  9. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20240901) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, International Journal of Heat and Fluid Flow, 2024.
  10. Effective​ ​perpendicular​ ​boundary​ ​conditions​ ​in​ ​phase-field​ ​models​ ​using​ ​Dirichlet​ ​boundary​ ​conditions (202400904) Soobin Kwak, Seokjun Ham, Jian Wang, Hyundong Kim, Junseok Kim, submitted, Engineering​ ​with​ ​Computers, 2024.
  11. A practical algorithm for image inpainting based on a predator-prey model (20240727) Jian Wang, Mengyu Luo, Junseok Kim, submitted, Pattern Recognition, 2024.
  12. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20240916) Youngjin Hwang, Junseok Kim, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2024.
  13. A novel ensemble Kalman filter based data assimilation method with an adaptive strategy for dendritic crystal growth (20240919) Wenxuan Xie, Zihan Wang, Binhu Xia, Junseok Kim, Yibao Li, submitted, ​Computer Methods in Applied Mechanics and Engineering, 2024.
  14. Impact of prey-taxis on a harvested intraguild predation predator-prey model (20240919, cfdkim, cfdkim no!) Mengxin Chen, Canrong Tian, Seokjun Ham, Hyundong Kim, Junseok Kim, submitted, European​ ​Journal​ ​of​ ​Applied​ ​Mathematics, 2024.
  15. A​ ​simple​ ​numerical​ ​algorithm​ ​for​ ​generating​ ​circular​ ​porous​ ​pattern​ ​formation​ ​on​ ​curved​ ​surfaces (20240921, cfdkim) Youngjin Hwang, Seungyoon Kang, Jyoti, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2024.
  16. ​A​ ​normalized​ ​time-fractional​ ​Lotka-Volterra​ ​model (20240928) Junseok Kim, submitted, Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2024.
  17. Nonlinear dynamic evolution of a novel normalized time-fractional Burgers equation (20241001) Junseok Kim, submitted, Journal of Computational Science, 2024.
  18. An efficient computational method for simulating incompressible fluid flows on a cubic surface (20241006) Junxiang Yang, Seungyoon Kang, Sangkwon Kim, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  19. Changes in Global Trade Centers Under the Impact of COVID-19: Based on a Visual Assessment Method  (20241007) Jian Wang, Haixiao Wang, Shanshan Ge, Junseok Kim, submitted,  ​​Research Policy, 2024.
  20. Phase field modeling of melting and solidification dynamics in metallic powders during the bed fusion process (20241007)  Qing Xia, Sijing Lai, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  21. A practically stable explicit numerical method for the ternary Cahn-Hilliard system (20241016) Seokjun Ham, Hyundong Kim, Youngjin Hwang, Junseok Kim, submitted, Mathematical Modelling and Control, 2024. 
  22. Reconstructing the quadratic local volatility surface for European options (20241016) Yunjae Nam, Daeun Jeong, Hyundong Kim, Minjoon Bang, Changwoo Yoo, Junseok Kim, submitted, ​Mathematical Modelling and Control, 2024.
  23. An unconditionally stable denoising algorithm on non-uniform grids (20241017)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, Computer-Aided Design, 2024.
  24. Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20241022) Seokjun Ham, Soobin Kwak, Junseok Kim, submitted, Applied Mathematics and Computation, 2024.
  25. A review of the numerical methods for solving the binary Allen-Cahn equation (20241028) Hyun Geun Lee, Yibao Li, Junxiang Yang, Soobin Kwak, Youngjin Hwang, Seokjun Ham, Hyundong Kim, Jyoti -, Yunjae Nam, Junseok Kim, submitted, Electronic Research Archive, 2024.​
  26. Phase-field modeling for curvature-dependent tissue growth on surfaces (20241028) Soobin Kwak, Yongho Choi, Jian Wang, Yunjae Nam, Junseok Kim, submitted, Engineering Analysis with Boundary Elements, 2024.
  27. Effect​ ​of​ ​polynomial​ ​order​ ​on​ ​front​ ​propagation​ ​in​ ​the​ ​Allen-Cahn​ ​ equations (20241029) Junseok Kim, submitted, Mathematics, 2024.​
  28. Designing team projects for envy-free group collaboration (20241029), Jian Wang, Chaeyoung Lee, Heming Xu, Soobin Kwak, Hyundong​ ​Kim, Junseok Kim, submitted, Discrete Dynamics in Nature and Society, 2024.
  29. A second-order finite difference method for the Black-Scholes model without far-field boundary conditions (20241102) Jian Wang, Xinpei Wu, Youngjin Hwang, Yunjae Nam, Soobin Kwak, Taehui Lee, Junseok Kim, submitted, Journal of Financial Stability, 2024.
  30. A cell structure implementation of the multigrid method for the two-dimensional diffusion equation (20241106) Yongho Choi, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Jyoti, Hyundong Kim, Junseok Kim, submitted, AIP Advances, 2024.
  31. Stability​ ​analysis​ ​for​ ​maximum​ ​principle​ ​preserving​ ​fully​ ​explicit​ ​approach​ ​of​ ​the​ ​surface​ ​Allen-Cahn​ ​equation​ ​on​ ​curved​ ​surfaces  (20241108) Hyundong​ ​Kim,​ ​Jian​ ​Wang,​ ​Seokjun​ ​Ham,​ ​Youngjin​ ​Hwang,​ ​.​ ​Jyoti,​ ​Junseok​ ​Kim, submitted, ​Journal of Computational Science, 2024.​
  32. Stability analysis of a numerical method for the 3D high-order Allen–Cahn equation (20241111) Seokjun Ham, Jyot, Jaeyong Choi, Yunjae Nam, Junseok Kim, submitted, ​AIP Advances, 2024.
  33. An efficient operator splitting method for a normalized time-fractional Allen–Cahn equation (20241113) Jian Wang, Keyong Chen, Junxiang Yang, Ziwei Han, Soobin Kwak, Yunjae Nam, Seokjun Ham, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2024.
  34. A review of the numerical methods for diblock copolymer melts (20241116) Youngjin​ ​Hwang,​ Seungyoon Kang, Junseok Kim, submitted, CMC-Computers, Materials & Continua, 2024.
  35. Computational analysis of a normalized time-fractional Fokker-Planck equation (20241118) Jian Wang, Keyong Chen, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2024.

 

In preparation

2) Implicit conservative Allen-Cahn equation using multigrid method on a cubic surface
3) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface
4) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface
5) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.
6) CAC NS equation on a cubic surface.
 

 

 

  1. Reconstruction of convexity-preserving local volatility functions (20240924 !!) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Annals​ ​of​ ​Operations​ ​Research, 2024.
  2. Maximum bound preserving and energy dissipation shape transformation method based on the nonlocal modified Allen–Cahn model (20240912) Zhifeng Weng, Shuying Zhai, Junxiang Yang, Seokjun Ham, Junseok Kim, submitted, Journal of Computational Physics, 2024.
  3. An efficient image encryption algorithm based on a time-delay predator-prey model (20240626 cfdkim) Jian Wang, Haixiao Wang, Wenjing Jiang,  Zean Dai, Junseok Kim, submitted, Journal​ ​of​ ​Mathematical​ ​Biology, 2024.
  4. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20231030) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Expert Systems With Applications, 2024.
  5. Optimal calibration of the temporally varying volatility function (20241106) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​Financial​ ​Innovation, 2024.​
  6. An efficient and accurate adaptive time-stepping method for the Landau–Lifshitz equation  (20241111) Junseok Kim, Soobin Kwak, Moumni Mohammed, Seungyoon Kang, Seokjun Ham, Hyundong​ ​Kim, submitted, ​Modern​ ​Physics​ ​Letters​ ​B, 2024.
  7. A normalized time-fractional Korteweg–de Vries equation (20241114) Hyun Geun Lee, Soobin Kwak, Jyoti, Yunjae Nam, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2024.
  8. Reconstructing​ ​Initial​ ​Conditions​ ​through​ ​Inverse​ ​Problems​ ​in​ ​Normalized​ ​Time-Fractional​ ​Diffusion​ ​Equations (20241112) Junseok Kim, submitted, ​AppliedMath, 2024.
  9. A finite difference method for a normalized time-fractional Black–Scholes equation (20241118, 윤재 논문 리비젼 연구비 지원) Yunjae Nam, Jian Wang, Mengyu Luo, Chaeyoung Lee, Yongho Choi, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Applied Mathematics and Computation, 2024.
  10. Numerical simulation of a normalized time-fractional SUC epidemic model (20241104 !!) Chaeyoung Lee, Jyoti -, Soobin Kwak, Yunjae Nam, Junseok Kim, submitted, BMC Infectious Diseases, 2024.

 

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

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